Finite Group DatabasebetaFinite Group DatabasebetaOrder 8576.
278 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 85 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#14523978 | C2 | semidirect |
| 5. #16863161 | C2 | semidirect |
| 6. #16863160 | C2 | semidirect |
| 7. C2×#108×C67 | C2 | semidirect |
| 99. C2×D67 | #108 | semidirect |
| 114. C67 | #1855 | semidirect |
| 117. C2×#108 | D67 | semidirect |